Q: What are the prime factors of the number 16,753,695?

 A: 3, 5, 7, 379, 421

Why are those the prime factors of the number 16,753,695?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 16,753,695

16,753,695
Factor Arrows
35,584,565
Factor Arrows
51,116,913
Factor Arrows
7159,559
Factor Arrows
379421

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 5, 7, 379, 421

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 379 x 421 = 16,753,695

This can also be written as 31 x 51 x 71 x 3791 x 4211 = 16,753,695

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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